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Finding the Third Proportional to 364.78 and 522.42

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Solution

The third proportional to 364.78 and 522.42 is: 748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.78 : 522.42 = 522.42 : x
  2. Step 2: Convert to fraction form
    364.78/522.42 = 522.42/x
  3. Step 3: Cross multiply
    364.78x = 522.42 × 522.42
  4. Step 4: Simplify right side
    364.78x = 272,924.62
  5. Step 5: Solve for x
    x = 272,924.62/364.78
  6. Step 6: Final answer
    x = 748.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.